Geodesic
Lower central series and derived series of net subgroups of the general linear group
Zapiski Nauchnykh Seminarov POMI, Modules and algebraic groups, Tome 114 (1982), pp. 180-186 
Kh. Roloff. Lower central series and derived series of net subgroups of the general linear group. Zapiski Nauchnykh Seminarov POMI, Modules and algebraic groups, Tome 114 (1982), pp. 180-186. http://geodesic.mathdoc.fr/item/ZNSL_1982_114_a16/
@article{ZNSL_1982_114_a16,
     author = {Kh. Roloff},
     title = {Lower central series and derived series of net subgroups of the general linear group},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {180--186},
     year = {1982},
     volume = {114},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1982_114_a16/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

Over a commutative ring $R$ with invertible element 2 and with radical $\mathfrak J$, nets (i.e., tables $\sigma=(\sigma_{ij})$ of ideals $\sigma_{ij}$ such that $\sigma_{i\Gamma}\sigma_{\Gamma j}\subset\sigma_{ij}$) such that $\sigma_{ii}\subset\mathfrak J$ are considered. Such nets are called pseudoradical. The groups of the lower central series and the derived series are explicitly constructed for the corresponding net subgroups $G(\sigma)$ (of the general linear group $GL(n,R)$) in terms of $\sigma$.